Fifty years of probabilistic decision analysis: a view from the UK

  • A Morton
  • L D Phillips
Special Issue Paper


In 1959, LJ Savage attended a statistics seminar held in his honour at the University of London, confronting those present with a radically different approach to reasoning about uncertainty. Britain was well placed to respond to Savage, as very similar ideas had been laid out in Britain a full generation earlier, and in the next few decades, British and British-based practitioners and researchers championed a collection of techniques for thinking quantitatively about uncertainty (which we call ‘Probabilistic Decision Analysis’), developing practice, and contributing to theoretic knowledge about the underlying psychology and mathematics. This effectively turned a collection of purely theoretical ideas into a practical modelling technology. In the first decade of the 21st century, some 50 years on, these ideas have made a noticeable influence on practice and thinking in various domains, but numerous challenges still remain.


decision analysis probability risk history of OR 


  1. Adelson RM (1977). Comment on ‘Discussion on control'. Opl Res Quart 28: 105–107.CrossRefGoogle Scholar
  2. Barclay S, Brown RV, Kelly CW, Peterson CR III,, Phillips LD and Selvidge J (1977). ARPA Handbook for Decision Analysis. Decisions and Designs: McLean, VA.Google Scholar
  3. Beattie DW (1969). Marketing a new product. Opl Res Quart 20: 429–435.CrossRefGoogle Scholar
  4. Bedford T and Cooke R (2001). Probabilistic Risk Analysis. Cambridge University Press: Cambridge.CrossRefGoogle Scholar
  5. Bernstein PL (1996). Against the Gods: The Remarkable Story of Risk. Wiley: Chichester.Google Scholar
  6. Blackett PMS (1950). Operational Research. Opl Res Quart 1: 3–6.CrossRefGoogle Scholar
  7. Briggs A, Sculpher M and Claxton K (2006). Decision Modelling for Health Economic Evaluation. Oxford University Press: Oxford.Google Scholar
  8. Brown RV, Kahr AS and Peterson C (1974a). Decision Analysis for the Manager. Holt, Rinehart and Winston: New York.Google Scholar
  9. Brown RV, Kahr AS and Peterson C (1974b). Decision Analysis: An Overview. Holt, Rinehart and Winston: New York.Google Scholar
  10. Bunn DW (1982). Analysis for Optimal Decisions. Wiley: Chichester.Google Scholar
  11. Bunn DW (1984). Applied Decision Analysis. McGraw-Hill: London.Google Scholar
  12. Chapman M (1980). Decision Analysis: Civil Service College Handbook 21. HMSO: London.Google Scholar
  13. Dando MR and Bennett PG (1981). A Kuhnian crisis in management science? J Opl Res Soc 32: 92–103.CrossRefGoogle Scholar
  14. David FN (1962). Games, Gods and Gambling: A History of Probability and Statistical Ideas. Griffin: London.Google Scholar
  15. Edwards W, Miles RF and von Winterfeldt D (2007). Advances in Decision Analysis: From Foundations to Applications. Cambridge University Press: Cambridge.CrossRefGoogle Scholar
  16. French S (1978). Viewpoint. J Opl Res Soc 29: 179–180.CrossRefGoogle Scholar
  17. French S (1986). Decision Theory: An Introduction to the Mathematics of Rationality. Ellis Horwood: Chichester.Google Scholar
  18. French S (1989). Readings in Decision Analysis. Chapman and Hall: London.CrossRefGoogle Scholar
  19. French S, Hartley R, Thomas L, White D and Tocher KD (1978). Comments on the relevance of utility theory to modern society. J Opl Res Soc 29: 1132–1133.CrossRefGoogle Scholar
  20. Goodwin P and Wright G (1991). Decision Analysis for Management Judgement. Wiley: Chichester.Google Scholar
  21. Goodwin P and Wright G (2004). Decision Analysis for Management Judgement. Wiley: Chichester.Google Scholar
  22. Hacking I (1984). The Emergence of Probability. Cambridge University Press: Cambridge.Google Scholar
  23. Hampton JM, Moore PG and Thomas H (1973). Subjective probability and its measurement. J Roy Stat Soc 136: 21–42.CrossRefGoogle Scholar
  24. Hertz DB and Thomas H (1983). Risk Analysis and Its Applications. Wiley: Chichester.Google Scholar
  25. HM Treasury (2003). The Green Book: Appraisal and Evaluation in Central Government. London: TSO.Google Scholar
  26. Howard RA (1966). Decision Analysis: Applied decision theory. In: Hertz D.B. and Melesej J. (eds). Proceedings of the Fourth International Conference on Operational Research. Wiley-Interscience: New York.Google Scholar
  27. Howard RA (1988). Decision Analysis: Practice and promise. Mngt Sci 34: 679–695.CrossRefGoogle Scholar
  28. Howie D (2002). Interpreting Probability: Controversies and Developments in the Early 20th Century. Cambridge University Press: Cambridge.CrossRefGoogle Scholar
  29. Howson C and Urbach P (2005). Scientific Reasoning: The Bayesian Approach. Open Court: La Salle, IL.Google Scholar
  30. Hull J, Moore PG and Thomas H (1973). Utility and its measurement. J Roy Stat Soc 136: 226–247.CrossRefGoogle Scholar
  31. Jaynes ET and Bretthorst GL (2003). Probability Theory: The Logic of Science: Principles and Elementary Applications. Cambridge University Press: Cambridge.CrossRefGoogle Scholar
  32. Jeffreys H (1939). Theory of Probability. Clarendon: Oxford.Google Scholar
  33. Kirby MW (2000). Operations Research Trajectories: The Anglo-American experience from the 1940s to the 1990s. Opns Res 48: 661–670.CrossRefGoogle Scholar
  34. Lauritzen SL and Spiegelhalter DJ (1988). Local computations with probabilities on graphical structure and applications to expert systems. J Roy Stat Soc B 50: 157–224.Google Scholar
  35. Lichtenstein S and Slovic P (eds) (2006). The Construction of Preference. Cambridge University Press: Cambridge, UK.Google Scholar
  36. Lichtenstein S, Fischhoff B and Phillips LD (1982). Calibration of probabilities: The state of the art to 1980. In: Kahneman D., Slovic P. and Tversky A. (eds). Judgment Under Uncertainty: Heuristics and Biases. Cambridge University Press: Cambridge, UK.Google Scholar
  37. Lindley DV (1958). Professor Hogben's ‘Crisis’—A survey of the foundations of statistics. Appl Stat 7: 186–198.CrossRefGoogle Scholar
  38. Lindley DV (1971). Making Decisions. Wiley: Chichester.Google Scholar
  39. Luce RD and Raiffa H (1957). Games and Decisions. New York.Google Scholar
  40. Moore PG (1983). The Business of Risk. Cambridge University Press: Cambridge.CrossRefGoogle Scholar
  41. Moore PG and Thomas H (1976). The Anatomy of Decisions. Penguin: Harmondsworth.Google Scholar
  42. Moore PG, Thomas H, Bunn DW and Hampton JM (1976). Case Studies in Decision Analysis. Penguin: Harmondsworth.Google Scholar
  43. Morgan MG and Henrion M (1990). Uncertainty: A Guide to Dealing with Uncertainty in Quantitative Risk and Policy Analysis. Cambridge University Press: Cambridge, UK.CrossRefGoogle Scholar
  44. Nirex (2006). A Procedure for Data Elicitation in Support of Performance Assessments: Nirex Report N/132. Nirex: Didcot.Google Scholar
  45. O'Hagan A, Buck CE, Daneshkhah A, Eiser JR, Garthwaite PH, Jenkinson DJ, Oakley JE and Rakow T (2006). Uncertain Judgements: Eliciting Experts' Probabilities. Wiley: Chichester.CrossRefGoogle Scholar
  46. Oliver RM and Smith JQ (eds) (1990). Influence Diagrams, Belief Nets and Decision Analysis. Wiley: Chichester.Google Scholar
  47. OR/MS Today (2006). Decision Analysis Software Survey OR/MS Today, December,, accessed 8 January 2008.
  48. Pearman AD (1987). The application of decision-analysis—a US/UK Comparison. J Opl Res Soc 38: 775–783.CrossRefGoogle Scholar
  49. Phillips LD (1970). The ‘true probability’ problem. Acta Psychol 34: 254–264.CrossRefGoogle Scholar
  50. Phillips LD (1982). Requisite decision modelling: A case study. J Opl Res Soc 33: 303–311.CrossRefGoogle Scholar
  51. Phillips LD (1984). A theory of requisite decision models. Acta Psychol 56: 29–48.CrossRefGoogle Scholar
  52. Phillips LD (1989). Decision Analysis in the 1990s. In: Shahani A. and Stainton R. (eds). Tutorial papers in Opl Res. Operational Research Society: Birmingham.Google Scholar
  53. Phillips LD (1990). Decision analysis for group support. In: Eden C. and Radford J. (eds). Tackling Strategic Problems. Sage: London.Google Scholar
  54. Phillips LD (2005). Decision Analysis in 2005. In: Robinson A. and Parkin J. (eds). OR47: Keynote and Tutorials. The OR Society: Birmingham.Google Scholar
  55. Phillips LD and Wisbey SJ (1993). The Elicitation of Judgmental Probability Distributions from Groups of Experts: A Description of the Methodology and Records of Seven Formal Elicitation Sessions Held in 1991 and 1992: Safety Studies—Nirex Radioactive Waste Disposal NSS/B101. Nirex: Didcot.Google Scholar
  56. Phillips LD and Wisniewski TK (1983). Bayesian models for computer-aided underwriting. Statistician 32: 252–263.CrossRefGoogle Scholar
  57. Raiffa H (1968). Decision Analysis: Introductory Lectures on Choices Under Uncertainty. Random House: New York.Google Scholar
  58. Raiffa H (2002). Decision analysis: A personal account of how it got started and evolved. Opns Res 50: 179–185.CrossRefGoogle Scholar
  59. Ramsey FP (1978). Truth and probability. In: Mellor D.H. (ed). Foundations : Essays in Philosophy, Logic, Mathematics and Economics. Routledge & Kegan Paul: London.Google Scholar
  60. Savage LJ (1954). The Foundations of Statistics. Wiley: New York.Google Scholar
  61. Savage LJ, Bartlett MS, Barnard GA, Cox DR, Pearson ES and Smith CAB (1962). The Foundations of Statistical Inference. Methuen: London.Google Scholar
  62. Schum DA (1994). The Evidential Foundations of Probabilistic Reasoning. Wiley: Chichester.Google Scholar
  63. Shanteau J, Mellers BA and Schum DA (eds) (1999). Decision Science and Technology: Reflections on the Contributions of Ward Edwards. Kluwer: Dordrecht.Google Scholar
  64. Smith JQ (1988). Decision Analysis: A Bayesian Approach. Chapman and Hall: London.Google Scholar
  65. Spiegelhalter DJ, Dawid AP, Lauritzen SL and Cowell RG (1993). Bayesian analysis in expert systems. Stat Sci 8: 219–247.CrossRefGoogle Scholar
  66. Staël von Holstein C-AS and Matheson J (1979). A Manual for Encoding Probability Distributions. SRI International: Menlo Park, CA.Google Scholar
  67. Stern N (2007). The Stern Review on the Economics of Climate Change. Cambridge University Press: Cambridge.CrossRefGoogle Scholar
  68. Thomas H (1972). Decision Theory and the Manager. Pitman: London.Google Scholar
  69. Thomas H and Samson D (1986). Subjective aspects of the art of decision-analysis: Exploring the role of decision-analysis in decision structuring, decision support and policy dialogue. J Opl Res Soc 37: 249–265.CrossRefGoogle Scholar
  70. Thrall RM, Coombs CH and Davis RL (1954). Decision Processes. Wiley: New York.Google Scholar
  71. Tocher KD (1976). Notes for discussion on ‘Control’. Opl Res Quart 27: 231–239.CrossRefGoogle Scholar
  72. Tocher KD (1977a). Discussion on control—Reply to a comment on my paper. Opl Res Quart 28: 107.CrossRefGoogle Scholar
  73. Tocher KD (1977b). Planning systems. Philosoph Trans Roy Soc London 287: 425–441.CrossRefGoogle Scholar
  74. Tocher KD (1977c). Viewpoint. J Opl Res Soc 29: 180–182.Google Scholar
  75. Tocher KD (1978). Viewpoint. J Opl Res Soc 29: 1134–1135.Google Scholar
  76. Ulvila JW and Brown RV (1982). Decision analysis comes of age. Harvard Bus Rev 60: 130–141.Google Scholar
  77. Watson SR and Buede DM (1987). Decision Synthesis: The Principles and Practice of Decision Analysis. Cambridge University Press: Cambridge.Google Scholar
  78. White DJ (1969). Decision Theory. Allen and Unwin: London.Google Scholar
  79. Woo G (1999). The Mathematics of Natural Catastrophes. Imperial College Press: London.CrossRefGoogle Scholar
  80. Wright G and Ayton P (eds) (1994). Subjective Probability. Chichester: Wiley.Google Scholar
  81. Zeckhauser RJ, Keeney RL, and Sebenius JK (eds) (1996). Wise Choices: Decisions, Games and Negotiations. Harvard Business School Press: Boston.Google Scholar

Copyright information

© Palgrave Macmillan Ltd 2009

Authors and Affiliations

  • A Morton
    • 1
  • L D Phillips
    • 1
  1. 1.London School of Economics and Political ScienceLondonUK

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